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Finding the Fourth Proportional to 6,965.01, 10,445.43 and 2,033.10

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Solution

The fourth proportional to 6,965.01, 10,445.43 and 2,033.10 is: 3,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.01 : 10,445.43 = 2,033.10 : x
  2. Step 2: Convert to fraction form
    6,965.01/10,445.43 = 2,033.10/x
  3. Step 3: Cross multiply
    6,965.01x = 10,445.43 × 2,033.10
  4. Step 4: Simplify right side
    6,965.01x = 21,236,603.73
  5. Step 5: Solve for x
    x = 21,236,603.73/6,965.01
  6. Step 6: Final answer
    x = 3,049.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.